期刊文献+

关于A-G的几个不等式

Several Inequalities about A-G
下载PDF
导出
摘要 为加强或加细几个著名的算术-几何不等式,研究用方差来估算两者的差,并利用一个统一的证明模式,加强或推广这些结果. To strengthen and refine some famous arithmetic-geometric inequalityies, this paper used variance to estimate the difference between the two, strengthen or popularize these results with a unified proof mode .
出处 《杭州师范大学学报(自然科学版)》 CAS 2012年第5期426-432,共7页 Journal of Hangzhou Normal University(Natural Science Edition)
关键词 算术-几何不等式 加细 方差 arithmetic mean geometric mean compressed independent variables theorem inequality
  • 相关文献

参考文献16

  • 1Mitrinovic D S, Vasic M. Analytic inequalities[M], New York: Springer-Verlag, 1970:81-83.
  • 2Cartwright D I,Field M J. A refinement of the arithmetic mean-geometric mean inequality[J]. Proc Amer Math Soc,1978*71(1) :36-38.
  • 3Bullen P S. Handbook of Means and their inequalities[M], The Netherlands: Kluwer Academic Publishers?2003; 156.
  • 4Williams K S,Beesack P R. Problem 247[J]. Crux Math,1978,4:23-26;37-39.
  • 5Mitrinovic D S, Pecaric J E,Fink A M. Classical and new inequalities in analysis [M]. The Netherlands* Kluwer Academic Publishers,1993:39.
  • 6Alzer H. A New refinement of the arithemetic mean-geometic mean inequality[J]. Rocky Mountain J Math, 1997 ,27(3) :663-667.
  • 7Mercer A M. Improved upper and lower bounds for the difference of An-Gn[J], Rocky Mountain J Math,2001,31(3) :553-560.
  • 8Zhang Xiaoming, Chu Yuming, A new method to study analytic! nequalities[J]. Journal of Inequalities and Applications,2010(2010),Article ID 698012.
  • 9Williams K S,Beesack P R. Problem 395[J]. Crux Math, 1979 ,5 :89-90 *232-233.
  • 10Gao Peng. Ky Fan inequality and bounds for differences of means[J]. Int J Math Math Sci?2003 ,16 : 995-1002.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部